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Finding the Fourth Proportional to 311,214.60, 466,757.10 and 133,727.40

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Solution

The fourth proportional to 311,214.60, 466,757.10 and 133,727.40 is: 200,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,214.60 : 466,757.10 = 133,727.40 : x
  2. Step 2: Convert to fraction form
    311,214.60/466,757.10 = 133,727.40/x
  3. Step 3: Cross multiply
    311,214.60x = 466,757.10 × 133,727.40
  4. Step 4: Simplify right side
    311,214.60x = 62,418,213,414.54
  5. Step 5: Solve for x
    x = 62,418,213,414.54/311,214.60
  6. Step 6: Final answer
    x = 200,563.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.